Second-order differential proximal methods for equilibrium problems.
Sequence of iterates of generalized contractions
Sequential regularization of ill-posed problems involving unbounded operators
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems
The paper is devoted to the problem of verification of accuracy of approximate solutions obtained in computer simulations. This problem is strongly related to a posteriori error estimates, giving computable bounds for computational errors and detecting zones in the solution domain where such errors are too large and certain mesh refinements should be performed. A mathematical model embracing nonlinear elliptic variational problems is considered in this work. Based on functional type estimates developed...
Smoothing and interpolation in a convex subset of a Hilbert space : II. The semi-norm case
Solution of a finite-dimensional problem with -mappings and diagonal multivalued operators.
Some equilibrium and mixed models in the finite element method
Stability for a certain class of numerical methods – abstract approach and application to the stationary Navier-Stokes equations
We consider some abstract nonlinear equations in a separable Hilbert space and some class of approximate equations on closed linear subspaces of . The main result concerns stability with respect to the approximation of the space . We prove that, generically, the set of all solutions of the exact equation is the limit in the sense of the Hausdorff metric over of the sets of approximate solutions, over some filterbase on the family of all closed linear subspaces of . The abstract results are...
Stability of iterative schemes for nonselfadjoint equations
Stability of the method of least squares for finding the eigenvalues of a symmetric operator
Strong Uniqueness. A Far-Reaching Criterion for the Convergence Analysis of Iterative Procedures.